Suppose $|a|<1$ be a real number. How to solve the following limit? $$\lim\limits_{n\to \infty}(1-a)(1-a^2)\cdots(1-a^n).$$
2026-03-27 22:04:50.1774649090
How to solve the limit $\lim\limits_{n\to \infty}(1-a)(1-a^2)\cdots(1-a^n)$?
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This limit is the definition of the Euler function, a special function that doesn't seem to have any nicer closed form.